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spin [16.1K]
3 years ago
13

Point P lies on the directed line

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

Step-by-step explanation:

The vector AP is in the same directionas AB but its length is 1/3 of AB

No AB = (7-(-2)) i + (-2-4)j = 9i -6j.

It follows that AP = (1/3)(9i-6j) = 3i - 2j.

Now OP = OA +AP = (-2i + 4 j ) + (3i-2j) = i + 2j

So P(1,2).

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10a=100,000<br> a=?<br> whats the answer?
Goshia [24]
Answer

10a mean 10 x a

Find the number when you times gives you 100,000

a= 10,000
8 0
3 years ago
The mean number of visitors at a national park in one weekend is 52. Assume the variable follows a poisson distribution. Find th
dem82 [27]

Answer:

0.0374722

Step-by-step explanation:

Given that :

μ = 52

x = 58

P(x, μ) = (e^-μ) * (μ^x)/ x!

P(58, 52) = ((e^-52) * (52^58)) / 58!

P(58, 52) = [(2.6102E−23 * 3.37437E99) / 2.35056E78]

P(58, 52) = 8.80807E76 / 2.35056E78

P(58, 52) = 0.0374722

5 0
3 years ago
a triangular sign has a base that is to be 4 feet less than twice its height. A local zoning ordinance restricts the area of the
SCORPION-xisa [38]

Answer:

The base is 8 ft and the height is 6 ft.

Step-by-step explanation:

If the height of the triangle is x feet its base = 2x - 4 feet.

So the area of the triangle

= 1/2 * base * height

= 1/2 * (2x - 4) * x = 24

(x - 2) * x = 24

x^2 - 2x - 24 = 0

(x - 6)(x + 4) = 0

x = 6, -4   As x is the height it must be 6 feet.

The base = 2x - 4 =  2(6) - 4 = 8 feet.

8 0
3 years ago
There be a dilation of segment op, if the length of segment op is 24 cm and the length of its image is 12 cm then what is the sc
Genrish500 [490]

Answer:

Step-by-step explanation:

How do u find the scale factor of a dilation?

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states

5 0
3 years ago
What are the domain and range of the function f(x)=(√x-7)+9?
Yanka [14]

Answer:

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

Step-by-step explanation:

Consider the parent function y=\sqrt{x}.

The domain og this function is x\ge 0, the range of this function is y\ge 0.

The function f(x)=\sqrt{x-7}+9 is translated function y=\sqrt{x} 7 units to the right and 9 units up, so

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

3 0
4 years ago
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